Q. 3.31 Identify the slope and y-interce... [FREE SOLUTION]

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Intermediate Algebra

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$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 3: Q. 3.31 (page 263)

Identify the slope and $y -$ intercept from the equation of a line.
$(a) y = \frac{2}{5} x - 1 (b) x + 4 y = 8$

Short Answer

Expert verified

(a)

Slope is $m = \frac{1}{5}$

$y -$ intercept is $(0, - 1)$

(b)

Slope is $m = - \frac{1}{4}$

$y -$ intercept is $(0, 2)$

Step by step solution

Step 1. Given information

The equation of a line is

(a)

$y = \frac{2}{5} x - 1$

(b)

$x + 4 y = 8$

Step 2. Finding slope and intercept of (a)

(a)

The equation of a line is

$y = \frac{2}{5} x - 1$

Compare with slope-intercept formula

$y = m x + b$

So, slope is $m = \frac{2}{5}$

$b = - 1$

So, $y -$ intercept is $(0, - 1)$

Step 3. Write the equation of a line in slope-intercept form for (b)

(b)

Write the equation in slope-intercept form.

So, solve for $y .$

$x + 4 y = 8$

Subtract both sides $x$

$x + 4 y - x = 8 - x$

$4 y = - x + 8$

Divide both sides by $4$

$\frac{4 y}{4} = - \frac{1}{4} x + \frac{8}{4} y = - \frac{1}{4} x + 2$

Step 4. Finding slope and intercept of (b)

The slope-intercept form of a line is

$y = - \frac{1}{4} x + 2$

Compare with the slope-intercept formula of a line

$y = m x + b$

So,

$m = - \frac{1}{4} b = 2$

Slope is $- \frac{1}{4}$

$y -$ intercept is $(0, 2)$

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91影视

Identify the slope and $y -$ intercept from the equation of a line.
$(a) y = \frac{2}{5} x - 1 (b) x + 4 y = 8$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding slope and intercept of (a)

Step 3. Write the equation of a line in slope-intercept form for (b)

Step 4. Finding slope and intercept of (b)

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Identify the slope and y-intercept from the equation of a line.(a)y=25x-1(b)x+4y=8

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding slope and intercept of (a)

Step 3. Write the equation of a line in slope-intercept form for (b)

Step 4. Finding slope and intercept of (b)

One App. One Place for Learning.

Most popular questions from this chapter

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Identify the slope and $y -$ intercept from the equation of a line.
$(a) y = \frac{2}{5} x - 1 (b) x + 4 y = 8$